What is the surface area of the shape?

Answer:

1200.5

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

I= 7000(.0245)(7)

I=1200.5

Answer:

1,200.5

Step-by-step explanation:

Simple interest is

I = Prt,

where I is the interest earn after t years, P is the initial money , r is the rate

I = 7000*.0245*7 = 1,200.5

1,200.5 is the interest after 7 years

Answer:

y = 31

Step-by-step explanation:

We'll, if x + y = 10,

and x = -21,

then: -21 + y = 10.

To solve, add 21 on both sides to get y = 31

Hope this helps :)

Answer:Answer:

y = 31

Step-by-step explanation:

We'll, if x + y = 10,

and x = -21,

then: -21 + y = 10.

To solve, add 21 on both sides to get y = 31

Hope this helps :)

Step-by-step explanation:

Answer:

C

6 and 7

Step-by-step explanation:

6) x^5y^7 / x^2y^3

= x^(5-2) * y^(7-3)

= x^3y^4

7) [tex]\sqrt[3]{300}[/tex]

= 6.69432..

OR you can try 6^3 and 7^3 values

216 343

as 300 is between 216 and 343

so \sqrt[3]{300} is between 6 and 7

so it is between 6 and 7

Answer:

Question 6 answer is: C and Question 7 answer is: A

Step-by-step explanation:

It's simple to divide for Question 6 because you just have to show the difference between the exponents. 5 - 2 = 3 and 7 - 3 = 4 so choice C is the best answer.

For question seven, the radical index is 3 so rewrite the equation as 300^(1/3). The answer will be around 6.69 which is between 6 and 7 so the answer is A.

Answer:

Step-by-step explanation:

Let the numbers are:

Since the sequence is arithmetic, the difference of two consecutive terms is same:

Therefore:

The sum of the first two equations:

Substitute (6 + 3d) with 2 (the third equation) to get:

Explanation:

There are 4 shots that land on the green in this sample size. The height of the  bar tells us this directly.

Add up the heights of each bar to get 4+5+7+3+5 = 24 which is the total number of shots. The probability of landing on the green is 4/24 = 1/6 = 0.1667 = 16.67% approximately. This rounds to 17%

Answer:

60 bags can be filled. ( 150 pounds / 2.5 pounds per bag = 60 bags)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

150 pounds divid to 2.5pound

Answer:$156

Step-by-step explanation: One year has 72 weeks in it. That means there's 26 weeks in half a year. If he gets a Gatorade three time each week that's 78 Gatorades.if each Gatorade costs two dollars then the dad would spend 156 dollars every half year.

Answer:

2000

Step-by-step explanation:

Answer: 9,19

Range: The difference between the largest and smallest data in a data set.

nineteen (19) - nine (9) = 10 (which is equivelent to the given range 10)

Median: The value in a set that is most close to the middle of a range.

nine (9) and nineteen (19) the median would be 14

also, I needed more wording so it doesn't get taken down :(

Answer:

The answer is B) 432

Step-by-step explanation:

The 4 in 432 becomes a 3, because we can't subtract 6 from 3. The 3 becomes 13 and if we subtract 13 with 6... We get 7.

I got 0 with option B... With A I got 2 which is a remainder. With C I got 6.5 (repeating). And with D I got 7.77777777778.

Hence, B) 432 is the correct option.

Check screenshot of my work below.

(I forgot to include 48 on top of the division I just did. Don't mind that too much..)

A) 326

[tex] \frac{326}{9} [/tex]

[tex] = 36.2222222222 [/tex]

B) 432

[tex] \frac{432}{9} [/tex]

[tex] = 48[/tex]

C) 531

[tex] \frac{531}{9} [/tex]

[tex] = 59[/tex]

D) 630

[tex] \frac{630}{9} [/tex]

[tex] = 70[/tex]

so, the correct answer is option A.

Answer:

Infinitely Many Solutions

Step-by-step explanation:

They are the same line so they cross each other infinitely many times.

If you picked a point on the first equation it would be the same point on the second equation.

Answer:

D) Infinitely many solutions

Step-by-step explanation:

Given the follwowing systems of linear equations, y = x + 2, and -3x + 3y = 6:

Transforming -3x + 3y = 6 into its slope-intercept form, y = mx + b:

-3x + 3y = 6

Add 3x to both sides:

-3x + 3x + 3y = 3x + 6

3y = 3x + 6

Divide both sides by 3:

[tex]\frac{3y}{3} = \frac{3x + 6}{3}[/tex]

y =  x + 2     ⇒ This is the slope-intercept form of -3x + 3y = 6.  Since they are equivalent equations, then it means that their graphed lines coincide. Since any point on either lines coincide (or also exists) on the other line, then it means that the solutions to one of the equations will satisfy the other. Therefore, the given systems of linear equations have an infinitely many solutions.  

Answer:

The answer is: (-3,3)

kabanayan ako to si nstog

Answer:

Step by step solution:

Answer:

I can't read that...........

Answer:

47.5 Meters

Step-by-step explanation:

Find where the derivative changes from positive to negative (local maximum)

h(t)=[tex]-6t^2+30t+10[/tex]

h'(t)=[tex]-12t+30[/tex]

Find where the derivative equals zero

Theres no spot where the derivative wont exist because its a polynomial.

-12t=-30

t=[tex]\frac{5}{2}[/tex]

Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.

Now plug into original equation

h(2.5)=[tex]-6(2.5)^2+30(2.5)+10[/tex]

=-37.5+75+10

=47.5

Step-by-step explanation:

Use the equation

[tex] \frac{x - x1}{y - y1} = m[/tex]

So plug in the numbers

[tex] \frac{ 2 + 2}{3 - 4} = \frac{4}{ - 1} = - 4[/tex]

So if y=mx+b and there is no intercept the equation would be

[tex]y = - 4x[/tex]

Answer:

The first box is 4 the second box is 0.25

Step-by-step explanation:

The first box is 4 because you divided the time by 2 to get 1 so you need to divide the distance(8) by 2 to get 4.

To get 0.25 as the second box you would have divided the second box on the left (4) by 4 to get 1 so you would need to divide the second box on the right(1) by 4 to get 0.25

Answer:

Answer:

k =1

Step-by-step explanation:

3x + y = -7

      y = -3x - 7

m = -3

Parallel lines have same slope

[tex]Slope = -3\\\\\dfrac{8-[-1]}{-2-k}=-3\\\\\\\dfrac{8+1}{-2-k}=-3\\\\\dfrac{9}{-2-k} = -3[/tex]

Cross multiply,

9 = -3(-2-k)

9 = 6 + 3k

9-6 = 3k

3 = 3k

3/3 = k

k = 1

The remaining zero of polynomial is (5 + i).

And, the linear factorization of the polynomial are;

(x - 2) (x - (5-i)) (x - (5 + i)).

What is Zeros of polynomial?

Zeroes of a polynomial are the points where the polynomial becomes zero.

Given that;

Zeroes of the polynomial are 2, 5 - i

Now, If one zero of polynomial is complex then another zero of the polynomial is its conjugate.

So, One root of polynomial = 5 - i

Then, The third zero of the polynomial = 5 + i

Thus, The polynomial are find as;

(x - 2) (x - (5-i)) (x - (5 + i)) = 0

So, The remaining zero of polynomial is (5 + i).

And, the linear factorization of the polynomial are;

(x - 2) (x - (5-i)) (x - (5 + i)).

Learn more about the complex roots visit:

https://brainly.com/question/14788607

#SPJ1

(1/3)^4 = 1^4/ 3^4 = 1/81

Answer: 1/81

The expression 1/3 by the power of 4  when evaluated has a value of 1/81

From the question, we have the following parameters that can be used in our computation:

1/3 by the power of 4

Express as an equation

So, we have

1/3 by the power of 4 = 1/3⁴

When expanded, we have

1/3 by the power of 4 = 1/3 * 1/3 * 1/3 * 1/3

Evaluate the products

This gives

1/3 by the power of 4 = 1/81

Hence, the solution is 1/81

Read more about expression at

https://brainly.com/question/30492964

#SPJ6

Answer:

Step-by-step explanation:

( 8x - 23 )° = ( 6x + 11 )°

2x = 34

x = 17

m ∠ J = ( 8(17) - 23 )° = 113°

m ∠ M = 180° - 113° = 67°

Answer:

m=2

Step-by-step explanation:

you subtract the y-values (4-2) and put it as the numerator of a fraction than subtract the x-values (3-2) and put them as the denominator of the fraction. For this equation it would be

[tex]\frac{4-2}{3-2} = \frac{2}{1} = 2[/tex]

Answer:

Step-by-step explanation:

7/8 divided by 1/4

7/8 x 4/1 =7/2 = 3/1/2

Three and a half bags

Answer: Ok so I would say roughly 74 months

Step-by-step explanation: